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Single Variable Calculus
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e-books in this category
Elementary Illustrations of the Differential and Integral Calculus
by Augustus De Morgan - The Open Court Pub. Co. , 1899
The style is fluent and familiar; the treatment continuous and undogmatic. The main difficulties which encompass the early study of the Calculus are discussed in connexion with practical and historical illustrations which leave little to be desired.
by Shanti Narayan - S. Chand And Company , 1962
This book is meant for students preparing for the B.A. and B.Sc. examinations. The treatment of the subject is rigorous but no attempt has been made to state and prove the theorems in generalised forms and under less restrictive conditions.
Differential and Integral Calculus
by Virgil Snyder - American book company , 1902
The derivative is presented rigorously as a limit. Maxima and minima are discussed as the turning values in the variation of a function. The related theories of inflexions, curvature, and asymptotes receive direct and comprehensive treatment.
A Brief Introduction to the Infinitesimal Calculus
by Irving Fisher - Macmillan , 1921
Although intended primarily for economic students, the book is equally adapted to the use of those who wish a short course in 'The Calculus' as a matter of general education. I have had in mind not so much the classroom as the study.
Calculus with Analytic Geometry
by Richard H. Crowell, William E. Slesnick - W W Norton & Co Inc , 2008
Contents: Functions, Limits, and Derivatives; Conic Section; Integration; Logarithms and Exponential Functions; Trigonometric Functions; Techniques of Integration; The Definite Integral; Infinite Series; Geometry in the Plane; Differential Equations.
A Brief Course in the Calculus
by William Cain - D. Van Norstrand company , 1905
This book is intended not only for the class-room, but for the student without a teacher, who hopes to acquire some knowledge of the working principles of the Calculus in a short time. The book presupposes some knowledge of Geometry ...
Calculus 1: Course
by Peter Saveliev - Intelligent Perception , 2010
This is a traditional first semester course in introductory calculus. The main goal is some familiarity with the derivative and its applications. Topics: Limits; Continuity; Limits; Differentiation; Maximum and minimum values of functions; Integral.
by Matt Boelkins - Grand Valley State University , 2013
Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore.
Elementary Algebra and Calculus
by Larissa Fradkin - Bookboon , 2013
This elementary book embodies a systematic and efficient teaching method that marries modern evidence-based pedagogical findings with ideas that can be traced back to such educational and mathematical giants as Socrates and Euler.
Basic Calculus Refresher
by Ismor Fischer - University of Wisconsin , 2008
This is a very condensed and simplified version of basic calculus, which is a prerequisite for many courses in Mathematics, Statistics, Engineering, etc. It is not comprehensive, and not intended to be a substitute for a one-year freshman course.
by Russell A. Gordon - Whitman College , 2006
The text represents one person's attempt to put the essential ideas of calculus into a short and concise format. It may not appeal to a wide range of mathematicians, but it should provide most students with a good foundation in calculus.
by H.W. March, H.C. Wolff - McGraw-Hill , 1917
Calculus for technical students. Integration with the determination of the constant of integration, and the definite integral as the limit of a sum, are given following the differentiation of algebraic functions and before transcendental functions.
by Leah Edelstein-Keshet - University of British Columbia , 2010
Contents: Areas, volumes and simple sums; Fundamental Theorem of Calculus; Applications of the definite integral to velocities and rates, calculating volume, mass, and length; Techniques of Integration; Differential Equations; Infinite series...
Integrate Your Brain: How To Do Calculus In Your Head
by Aaron Maxwell - Lulu.com , 2006
Integrate Your Brain teaches how talented mathematicians utilize their normal, human mental ability to tackle calculus. You are gently trained in the fundamental skills, and shown step by step how to put them into action yourself.
Relationships, Change and Mathematical Analysis
by Roy McWeeny - Learning Development Institute , 2011
This book deals with the mathematics we need in describing the relationships among the quantities we measure in Physics. This leads us into the study of relationships and change, the starting point for Mathematical Analysis and the Calculus.
Funny Little Calculus Text
by Robert Ghrist - University of Pennsylvania , 2012
This text is meant to be read and enjoyed. It assumes you've seen some Calculus before: you know what to do (differentiate / integrate) and how to do it, but you don't know what it really means -- like everything else in life ...
Integration and Differential Equations
by R.S. Johnson - BookBoon , 2012
Part I introduces the standard techniques of elementary integration and, in some cases, takes the ideas a little further. In Part II, ordinary differential equation are explored, and the solution methods for some standard types are explained.
A Reform Approach to Business Calculus
by Marcel B. Finan - Arkansas Tech University , 2003
This short supplement consists of the author's lectures of a freshmen-level mathematics class offered at Arkansas Tech University. These lecture notes are basically well suited for a one semester course in Business Calculus.
The Calculus for Engineers
by John Perry - E. Arnold , 1897
This book describes what has for many years been the most important part of the regular college course in the Calculus for Mechanical and Electrical Engineering students. The students knew only the most elementary mathematics.
Calculus for Mathematicians, Computer Scientists, and Physicists
by Andrew D. Hwang - Holy Cross , 1998
The author presents beautiful, interesting, living mathematics, as informally as possible, without compromising logical rigor. You will solidify your calculational knowledge and acquire understanding of the theoretical underpinnings of the calculus.
The Calculus for Beginners
by John William Mercer - Cambridge University Press , 1914
The author has been guided by the conviction that it is much more important for the beginner to understand clearly what the processes of the Calculus mean, and what it can do for him, than to acquire facility in performing its operations.
Calculus Made Easy
by Silvanus P. Thompson - The MacMillan Company , 1914
A book for the mathematically eager who know some algebra. First published in 1910, overall a million copies have been sold. Most talk of continuum and its infinities is suppressed. A remarkable and user-friendly approach to the study of calculus.
The Calculus Integral
by Brian S. Thomson - ClassicalRealAnalysis.com , 2010
Elementary introduction to integration theory on the real line. This is at the level of an honor's course in calculus or a first undergraduate level real analysis course. It prepares the student for a graduate level course in Lebesgue integration.
by Arthur Henry Barker - Longmans, Green, and Co. , 1896
All teachers of engineering and applied sciences generally now recognize the vast superiority of graphical over purely mathematical methods of imparting instruction of almost every description. The former are much more convincing to the student.
Concepts of Calculus
by Christopher Cooper - Macquarie University , 2008
This is an introductory course on calculus for those who haven't studied it before. It emphasizes the concepts rather more than the technicalities and contains many examples and illustrations. It's particularly suitable for economics students.
Introduction to the Elementary Functions
by Raymond Benedict McClenon - Ginn and company , 1918
The book covers some parts of plane trigonometry and analytic geometry, followed by an introduction to the differential calculus, including differentiation of simpler algebraic functions and applications to problems of rates and maxima and minima.
by Frederick S Woods, Frederick H Bailey - Ginn and Company , 1922
This book is adapted to the use of students in the first year in technical school or college, and is based upon the experience of the authors teaching calculus to students in the Massachusetts Institute of Technology immediately upon entrance.
CK-12 Single Variable Calculus
by R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis - CK-12 Foundation , 2009
From the table of contents: Functions, Limits, and Continuity; Derivatives; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Integration Techniques; Infinite Series.
Real Functions in One Variable: Examples of Integrals
by Leif Mejlbro - BookBoon , 2007
This volume covers partial integration, integration by simple substitutes, integration by advanced substitutions, decomposition, integration by decomposition, trigonometric integrals, MAPLE programs, moment of inertia, and mathematical models.
Calculus for Beginners and Artists
by Daniel Kleitman - MIT , 2009
Calculus is the study of how things change, it provides a framework for modeling systems in which there is change. This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician.
Real Functions in One Variable: Calculus 1a
by Leif Mejlbro - BookBoon , 2006
Most students already have assigned textbooks when studying Calculus I, therefore this free book takes a different approach. It focuses on explaining the central theories and warns students of the areas where mistakes are traditionally made.
Sequences and Power Series: Guidelines for Solutions of Problems
by Leif Mejlbro - BookBoon , 2007
Guidelines for solutions of problems concerning sequences and power series. It is not an alternative textbook, but it can be a useful supplement to the ordinary textbooks. The text presupposes some knowledge of calculus of functions in one variable.
A Summary of Calculus
by Karl Heinz Dovermann - University of Hawaii , 2003
The author introduces limits and derivatives, provides some rules for their computations, discusses some properties of differential equations, geometric properties of graphs, introduces the ideas of the definite and the indefinite integral, etc.
One Variable Advanced Calculus
by Kenneth Kuttler - Brigham Young University , 2008
The difference between advanced calculus and calculus is that all the theorems are proved completely. Routine skills are supposed to be mastered and have no place in advanced calculus which deals with the issues related to existence and meaning.
Engineering Mathematics 1
by Ian Craw, Stuart Dagger, John Pulham , 2003
Introduction of elementary mathematical ideas useful in the study of Engineering. The text covers the derivative, maxima and minima, integration, reduction formulas, complex numbers, matrices, Taylor series, and differential equations.
by Paul Garrett , 2008
A short text covering introductory calculus topics: functions, limits, derivatives, critical points, minimization and maximization, l’Hospital’s rule, higher derivatives, integration, area and definite integrals, numerical integration, etc.
by Paul Dawkins - Lamar University , 2011
These lecture notes should be accessible to anyone wanting to learn Calculus II or needing a refresher in some of the topics from the class. The notes assume a good knowledge of Calculus I topics including limits, derivatives and basic integration.
by Paul Dawkins - Lamar University , 2011
These notes should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus. Contents: Review; Limits; Derivatives; Applications of Derivatives; Integrals; Applications of Integrals.
by Jerrold E. Marsden, A. Weinstein - Benjamin-Cummings Publishing Co. , 1981
A supplement to any calculus text, an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. The book is for calculus students and instructors interested in trying an alternative to limits.
Elements of the Differential and Integral Calculus
by William Anthony Granville - Ginn , 1911
Variables and functions, theory of limits, differentiation, rules for differentiating standard elementary form, successive differentiation, maxima and minima, differentials, rates, curvature, theorem of mean value, partial differentiation, etc.
Yet Another Calculus Text
by Dan Sloughter , 2007
Introduction to calculus based on the hyperreal number system for readers who are already familiar with calculus basics. It covers hyperreals, continuous functions, derivatives, geometric interpretation, optimization, integrals, applications, etc.
Calculus Without Limits
by John C. Sparks - Sparrow Hawk Treasures , 2008
Original exposition of single-variable calculus using the classic differential approach. It is the first new calculus book that deliberately minimizes the use of limits, one of the major stumbling blocks standing in the way of calculus students.
by Faraz Hussain , 2008
Online introductory book on Calculus that focuses on concepts, without complex and abstract jargon. Integrated throughout the e-book are many engineering applications aimed at developing the student's scientific approach towards problem solving.
by Benjamin Crowell , 2007
Short introductory text on differentiation and integration of functions of a single variable, and iterated integrals. The emphasis is on the techniques of calculus, although proofs are given for the important results at the back of the book.